132671520 has 240 divisors, whose sum is σ = 485737560. Its totient is φ = 34062336.

The previous prime is 132671503. The next prime is 132671527. The reversal of 132671520 is 25176231.

It is a happy number.

132671520 is a `hidden beast` number, since 132 + 6 + 7 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102333456 + 30338064 = 10116^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×132671520² = 35203464438220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132671527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375664 + ... + 376016.

Almost surely, 2^132671520 is an apocalyptic number.

132671520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242868780).

132671520 is an abundant number, since it is smaller than the sum of its proper divisors (353066040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132671520 is a wasteful number, since it uses less digits than its factorization.

132671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 132671520 is about 11518.3123763857. The cubic root of 132671520 is about 510.0262962220.

The spelling of 132671520 in words is "one hundred thirty-two million, six hundred seventy-one thousand, five hundred twenty".